Search a number
-
+
5480693460 = 223251123120349
BaseRepresentation
bin1010001101010110…
…01011111011010100
3112010221220002000200
411012223023323110
542211024142320
62303502140500
7252550061064
oct50653137324
915127802020
105480693460
112362788130
12108b581730
136946140a8
1439dc6d3a4
15221259290
hex146acbed4

5480693460 has 144 divisors (see below), whose sum is σ = 18924796800. Its totient is φ = 1270874880.

The previous prime is 5480693429. The next prime is 5480693467. The reversal of 5480693460 is 643960845.

5480693460 is a `hidden beast` number, since 54 + 80 + 69 + 3 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5480693467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14635 + ... + 105714.

It is an arithmetic number, because the mean of its divisors is an integer number (131422200).

Almost surely, 25480693460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5480693460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9462398400).

5480693460 is an abundant number, since it is smaller than the sum of its proper divisors (13444103340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5480693460 is a wasteful number, since it uses less digits than its factorization.

5480693460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120398 (or 120393 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5480693460 is about 74031.7057752960. The cubic root of 5480693460 is about 1763.1063276808.

The spelling of 5480693460 in words is "five billion, four hundred eighty million, six hundred ninety-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1265 1380 1518 1980 2070 2277 2530 3036 3795 4140 4554 5060 7590 9108 11385 15180 22770 45540 120349 240698 361047 481396 601745 722094 1083141 1203490 1323839 1444188 1805235 2166282 2406980 2647678 2768027 3610470 3971517 4332564 5295356 5415705 5536054 6619195 7220940 7943034 8304081 10831410 11072108 11914551 13238390 13840135 15886068 16608162 19857585 21662820 23829102 24912243 26476780 27680270 30448297 33216324 39715170 41520405 47658204 49824486 55360540 59572755 60896594 79430340 83040810 91344891 99648972 119145510 121793188 124561215 152241485 166081620 182689782 238291020 249122430 274034673 304482970 365379564 456724455 498244860 548069346 608965940 913448910 1096138692 1370173365 1826897820 2740346730 5480693460